Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30855n |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-28637296875 = -1 · 34 · 56 · 113 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,290,8014] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:82:1] |
Generators of the group modulo torsion |
j |
2019487744/21515625 |
j-invariant |
L |
3.3800772462576 |
L(r)(E,1)/r! |
Ω |
0.86909754728498 |
Real period |
R |
0.081024594055848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565x1 30855p1 |
Quadratic twists by: -3 -11 |